Quadrilateral practice problems - page 5 of 12
Number of problems found: 232
- Pyramid 4sides
Calculate the volume and the surface of a regular quadrilateral pyramid when the edge of the base is 4 cm long, and the pyramid's height is 7 cm. - Pyramid complete
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid. - Pyramid volume calculation
Please calculate the volume of a quadrilateral pyramid when a = 5 cm and the wall height is w = 12 cm. - Pyramid volume
Calculate the volume of a regular quadrilateral pyramid, the base edge of which measures 6 cm and the height 10 cm - Pyramid volume base
Calculate the volume of a regular quadrilateral pyramid with a square base of side a=8 cm and a height of the pyramid of 11 cm. - Quadrilateral surface area
Calculate in dm² the surface of a quad whose edges have 1.2 dm, 1.4 dm, and 2 dm. - The tent
The tent shape of a regular quadrilateral pyramid has a base edge length of a = 2 m and a height of v = 1.8 m. If we have to add 7% of the seams, how many m² of cloth did we need to make the tent? How many m³ of air will be in the tent? - Quadrilateral shelter
The shelter has the shape of a regular quadrilateral pyramid without a front wall. The length of the base edge is 3 meters, and the shelter's height is 3.5 meters. How much canvas must be bought to sew it if we have to increase consumption by 20% for fold - House roof
The house's roof is a regular quadrilateral pyramid with a base edge 20 m. If the roof pitch is 38° and we calculate 12% of waste, connections, and overlapping of the area roof, how much m² is needed to cover the roof? - Quadrilateral pyramid
The height of a regular quadrilateral pyramid is 6.5 cm, and the angle between the base and the side wall is 42°. Calculate the surface area and volume of the body—round calculations to 1 decimal place. - Quadrilateral oblique prism
What is the volume of a quadrilateral oblique prism with base edges of length a = 1 m, b = 1.1 m, c = 1.2 m, d = 0.7 m if a side edge of length h = 3.9 m has a deviation from the base of 20° 35' and the edges a, b form an angle of 50.5°? - Triangle
In triangle ABC, point S is the incentre (centre of the inscribed circle). The area of quadrilateral ABCS equals four-fifths of the area of triangle ABC. The side lengths of triangle ABC are all integers expressed in centimetres, and the perimeter of tria - Four sided prism
Calculate the volume and surface area of a regular quadrilateral prism whose height is 28.6 cm, and the diagonal body forms a 50-degree angle with the base plane. - Observation tower
An observation tower is covered with a roof in the shape of a regular quadrilateral pyramid with a base edge of 8 m and a height of 6 m. 60% of the roofing needs to be replaced. How many m² of new roofing material need to be bought? - Quadrilateral prism
Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°. - Small tower 2 A small tower has a square floor plan with a side length of 5 m. The tower's roof has the shape of a regular quadrilateral pyramid (without the base) with a height of 8 m. During renovation, the roof will be covered with new tiles. 11 tiles are used per 1
- Digging a pit
The pit has the shape of a regular quadrilateral truncated pyramid. The edges of the bases are 14 m and 10 m long. The sidewalls form an angle of 135° with a smaller base. Find how many m³ of soil were excavated when digging the pit. - Roof material calculation
How much sheet is needed for a roof with the shape of a regular quadrilateral pyramid if its edge is 2.8 m long and the height of the roof is 0.8 m? Calculate 10% for the overlap (extra). - Secret treasure
Scouts have a tent in the shape of a regular quadrilateral pyramid with a side of the base of 4 m and a height of 3 m. Find the container's radius r (and height h) so that they can hide the largest possible treasure. - Quadrangular pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid: sides of bases (bottom, top): a1 = 18 cm, a2 = 6 cm angle α = 60 ° (Angle α is the angle between the sidewall and the base plane.) S =? , V =?
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